We examine the regularity of solutions of a certain parabolic system in the weighted Sobolev space , where the weight is of the form , r is the distance from a distinguished axis and μ ∈ (0,1).
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-am34-2-3,
author = {Adam Kubica and Wojciech M. Zaj\k aczkowski},
title = {A parabolic system in a weighted Sobolev space},
journal = {Applicationes Mathematicae},
volume = {34},
year = {2007},
pages = {169-191},
zbl = {1117.35314},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am34-2-3}
}
Adam Kubica; Wojciech M. Zajączkowski. A parabolic system in a weighted Sobolev space. Applicationes Mathematicae, Tome 34 (2007) pp. 169-191. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am34-2-3/